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/*
Copyright (C) 2016 Fredrik Johansson
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "acb_hypgeom.h"
static void
airy_recurrence(acb_ptr ai, const acb_t z, slong len, slong prec)
{
slong k;
if (len >= 3)
{
acb_mul(ai + 2, ai, z, prec);
acb_mul_2exp_si(ai + 2, ai + 2, -1);
}
for (k = 3; k < len; k++)
{
acb_mul(ai + k, ai + k - 2, z, prec);
acb_add(ai + k, ai + k, ai + k - 3, prec);
acb_div_ui(ai + k, ai + k, k * (k - 1), prec);
}
}
void
acb_hypgeom_airy_jet(acb_ptr ai, acb_ptr bi, const acb_t z, slong len, slong prec)
{
if (len <= 0)
return;
if (len == 1)
{
acb_hypgeom_airy(ai, NULL, bi, NULL, z, prec);
return;
}
acb_hypgeom_airy(ai, ai ? (ai + 1) : NULL, bi, bi ? (bi + 1) : NULL, z, prec);
if (ai != NULL) airy_recurrence(ai, z, len, prec);
if (bi != NULL) airy_recurrence(bi, z, len, prec);
}
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